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Simplifying -6 + -1(4 + -5p) + 5 + -1(2 + -3p) = 0 -6 + (4 * -1 + -5p * -1) + 5 + -1(2 + -3p) = 0 -6 + (-4 + 5p) + 5 + -1(2 + -3p) = 0 -6 + -4 + 5p + 5 + (2 * -1 + -3p * -1) = 0 -6 + -4 + 5p + 5 + (-2 + 3p) = 0 Reorder the terms: -6 + -4 + 5 + -2 + 5p + 3p = 0 Combine like terms: -6 + -4 = -10 -10 + 5 + -2 + 5p + 3p = 0 Combine like terms: -10 + 5 = -5 -5 + -2 + 5p + 3p = 0 Combine like terms: -5 + -2 = -7 -7 + 5p + 3p = 0 Combine like terms: 5p + 3p = 8p -7 + 8p = 0 Solving -7 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8p = 0 + 7 8p = 0 + 7 Combine like terms: 0 + 7 = 7 8p = 7 Divide each side by '8'. p = 0.875 Simplifying p = 0.875
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